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![The Texture is another color version of this: www.flickr.com/photos/tanaka_juuyoh/5412528282 The g[] is a 4-partial sum of the Fourier series for Square wave. g[]は矩形波のフーリエ展開の最初の4項 *) SetOptions[ParametricPlot...](/b/883211437e637303b2a20e3e65d3dc56c1afb803)
| View Original: | 5_crossing_penta-tori_/_交差する五個の五芒星環.jpg (3080x3223) | |||
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| Keywords: mathematica 3d cg parametricplot3d texture torus 輪環 りんかん ドーナツ どーなつ 五芒星 ごぼうせい 五光星 ごこうせい 五稜星 ごりょうせい program プログラム code コード algorithm コード アルゴリズム pentagram geometric sculpture geometricsculpture shape geometry sculpture mapping テクスチャ マッピング 模様 もよう design pattern デザイン パターン graphic グラフィック グラフィクス structure 意匠 構造 symmetry 対称性 たいしょうせい シンメトリー 対称 たいしょう algorithm pastel organic pattern black background photo border SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 300, ImageSize -> 3000, Background -> Darker[Green, 0.8], PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/862.jpg"]]], TextureCoordinateFunction -> ({#4 + #5, #5/Pi} &), Lighting -> "Neutral"]; a = 8; (* center hole size of a torus *) b = 5; (* penta-torus *) d = 5; (* number of torus *) g[v_] := Sum[Cos[(2 k - 1) v]/(2 k - 1), {k, 4}]; x = (a - g[t] - Sin[b s]) Cos[s]; y = Sin[t]; z = (a - g[t] - Sin[b s]) Sin[s]; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {1, 0, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture is another color version of this: www.flickr.com/photos/tanaka_juuyoh/5412528282 The g[] is a 4-partial sum of the Fourier series for Square wave. g[]は矩形波のフーリエ展開の最初の4項 *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 300, ImageSize -> 3000, Background -> Darker[Green, 0.8], PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/862.jpg"]]], TextureCoordinateFunction -> ({#4 + #5, #5/Pi} &), Lighting -> "Neutral"]; a = 8; (* center hole size of a torus *) b = 5; (* penta-torus *) d = 5; (* number of torus *) g[v_] := Sum[Cos[(2 k - 1) v]/(2 k - 1), {k, 4}]; x = (a - g[t] - Sin[b s]) Cos[s]; y = Sin[t]; z = (a - g[t] - Sin[b s]) Sin[s]; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {1, 0, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture is another color version of this: www.flickr.com/photos/tanaka_juuyoh/5412528282 The g[] is a 4-partial sum of the Fourier series for Square wave. g[]は矩形波のフーリエ展開の最初の4項 *) | ||||
